4292
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7980
- Proper Divisor Sum (Aliquot Sum)
- 3688
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2016
- Möbius Function
- 0
- Radical
- 2146
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 25
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 8 positive 6th powers.at n=42A003364
- Coordination sequence T2 for Zeolite Code -PAR.at n=47A009856
- Coordination sequence for CaF2(1), Ca position.at n=22A009923
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7-x^8-x^9).at n=27A017822
- Number of lines through exactly 4 points of an n X n grid of points.at n=27A018811
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DDR = Deca-dodecasil 3R[Si120O240]qR starting with a T1 atom.at n=11A019110
- Numbers with exactly 6 2's in their ternary expansion.at n=19A023704
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 32.at n=41A031530
- Coordination sequence T5 for Zeolite Code STF.at n=44A038440
- Numbers whose base-4 representation contains exactly four 0's and two 1's.at n=27A045035
- Least k such that the longest palindromic substring (without leading zeros) contained in 2^k has length n.at n=14A052059
- Sum of absolute values of coefficients of expansion of (1-x)(1-x^2)(1-x^3)...(1-x^n).at n=31A061553
- Doubly restricted composition numbers: number of compositions of [n^2/2] into up to n positive integers each no more than n.at n=6A077048
- Numbers k such that A000984(k) mod k = 0 and A080383(k) != 7.at n=13A080392
- G.f.: Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 5.at n=27A091773
- Main diagonal of A101866.at n=33A101867
- Alternating three ratio switched sequence based on characteristic root of A000931.at n=9A108169
- a(1) = 1; a(n) = sum of previous terms a(k) such that a(k) + n is prime.at n=60A108867
- Largest member z of a triple 0<x<y<z such that z^2-y^2, z^2-x^2 and y^2-x^2 are perfect squares.at n=22A111105
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+343)^2 = y^2.at n=12A118611